2. A manufacturer wants to make cylindrical cans. Each must be able to hold 1200 cubic cm ofliquid. Find the dimensions that minimize the cost of the meta to be used to make each can.

Q: 3. Solve initial Value Problem f'(x) = x+^ f(1) = 0

A:

Q: If f(x, y, z) = 3xy²z³ + arcsin(x√√z), find fxzy. [Hint: Which order of differentiation is easiest?]…

A: fx,y,z=3xy2z3+arcsinxz

Q: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

A: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

Q: Find the following for p =, q =, and r =. Find -2p - r Answer: Submit Answer www.w

A:

Q: How do I use the chain rule to find the derivative of (y=(cosx+2sinx)8)? I know (cosx=1) and…

A: Chain Rule of differentiation: If y= f(u) and u=g(x) , then y=f(g(x)) , so then                 dydx…

Q: Construct a related rates problem where the answer to said problem is 1.5 Please make the problem…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Hi I need help on solving this problem for my calculus: Evaluate the limit: lim x -> (3pi)/(2)…

A: limx→3π2sin2x+6sinx+5sin2x-1

Q: me Value Theorem, which of the following is true?   A) f(x) achieves a maximum f(c) and…

A: f(x)=x2

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 18 cm…

A:

Q: Water flows from the bottom of a storage tank at a rate of r(t) = 300 - 6t liters per minute, where…

A: This is question of calculus  Here rate of change of water flow is given  Further calculation is…

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: ✓ 5) a) lim X-1 Hopital's rule 2 x²-7x +6 x2 - 5x-6 - b) lim ex- e - 2x X-0 2 x² Find the limit. IF…

A:

Q: 3. Use the Intermediate Value Theorem to show that there is some c in the interval (-1,0) at which…

A: f(-1) = (-1)³ - 3(-1) + 1 = -1 + 3 + 1 = 3.  f(0) = (0)³ - 3(0) + 1 = 0 + 0 + 1 = 1.

Q: Given v =, find a unit vector u in the same direction as v. 0 O 2√7 17 O 10' 10 7√2 O 10⁹ 10 Submit…

A: We are given vector v=1,-7.We need to find a vector u in the same direction as v.

Q: 10. Given = [10,4] and = [12, 13], find the projection of u on v. -

A:

Q: Use the graph of the rational function f(x) to complete the statement. As x 27, f(x)→ -10 OO -2 +∞ 0…

A:

Q: Find a quadratic equation with rational coefficients, one of whose roots is the given number. Write…

A: we have given rational root =12+174

Q: Use the ratio test to determine whether n2n n=29 (n+2)! Converges or diverges. (a) Find the ratio of…

A:

Q: 1.) d³s dt3 2.) x 3.) ди ду d²v dr² + U = EQUATION S 3 1 + (- 2² z əx² dv + t dr 13 ds dt 4 - st = 0…

A: Since you are asking multiple questions. We are answering only first three questions as per our…

Q: Use the ratio test to determine whether n=17 n+7 n! converges or diverges.

A: By the answering guidelines of Bartleby, We can answer only first question from multiple questions,…

Q: Find the magnitude of the vector. Give the answer in simplest radical form for magnitude. z = 12i +…

A:

Q: If C(x)= 17,000+600x - 2.8x² + 0.004x³ is the cost function and p(x) = 4,200- 7x is the demand…

A: We have given the cost function C(x) = 17,000 + 600x − 2.8x2 + 0.004x3  and demand function p(x) =…

Q: Express the given product as a sum containing only sines and cosines. 170 2 sin COS 0 A THE CHOICES…

A:

Q: Find the derivative of f(x) = cos*(x) + cos(x) with no in final answer negative exponents

A: We know that the derivative of sinx= cosx and cosx=-sinx

Q: 1. 2. Find f'(x) and f"(x). Determine the following Domain a. b. x and y intercepts t. The critical…

A: derivative calculated by differentiation with respect to x

Q: Use to verify that the indicated function is a solution of the given differential equation. Assume…

A:

Q: A manufacturer has been selling 1150 television sets a week at $420 each. A market survey indicates…

A: Given :- At $420, A manufacturer sold number of televisions are 1150. And at $21 rebate offered to a…

Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

A:

Q: Consider the two functions f,g: [−1,5] → R, whose graphs are given below. 4 y = f(x) y = g(x) 3 3 2…

A:

Q: 3) Find the area bounded by the parabola x = 9-(y-2)² and the y-axis.

A: We know that area formula int_a^b f(x) dx

Q: Calculate the linear combination. 5(i +2j) - 3(2j+ k) + 7(2k − i) = (x, y, z) (Give your answers as…

A: To calculate the following linear combination. 5i+2j-32j+k+72k-i=x, y, z where,  x=?y=?z=?

Q: Solve the differential equation (D²-1)y=(e²=+1)

A:

Q: Let f(x) be a continuous and differentiable function such that f(3)=7 and 2 < f'(x) < 4 for all x.…

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: 4 -2 -2 -4 h(x). 10 X

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: 25. Practice similar Help me with this Use the ratio test to determine whether an+1 lim n→∞ an (a)…

A:

Q: 19. an - (₂)

A:

Q: Use the table to the right to find the given derivative. d[ f(x) dx x+3 x=4 f(x) [X3] (Simplify your…

A: Given that ddxfxx+3x=4

Q: A man launches his boat from point A on a bank of a straight river, 2 km wide, and wants to reach…

A:

Q: A circular swimming pool has a diameter of 18 m, the sides are 3 m high, and the depth of the water…

A: Given: Diameter= 18 m Sides = 3 m  Dept = 3 m  Acceleration = 9.8 Density = 1000

Q: use the appropriate limit laws and theorems to determine the limit of the sequence or show that it…

A: We have to find if the given series converges or diverges. For this we will apply ratio test.

Q: We now use the substitution u = x6 + 9x and du = (6x5 + 9) dx to convert the entire integral into…

A: We need to convert the integral in terms of u only.

Q: 63. bn = 3-4" 2+7.4" n

A:

Q: (b) So = x-4 r2 – 52 + 6 dx

A:

Q: Please answer and explain

A:

Q: 3. (a) Evaluate each definite integral using partial fractions (b) S x² + x + 1 (x + 1)²(x + 2) dx S…

A:

Q: y=x² and y = √√x =√₁ 2

A: y= x2 y =x

Q: 79. Give an example of a divergent sequence {a,} such that lim |an| converges. n→∞

A: To find a divergent sequence whose absolute sequence converges

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A: We are given a differential equation: 7y'+y=0.We have to verify that the given function y=e-x/7 is…